84000005505504 has 576 divisors, whose sum is σ = 268427936544768. Its totient is φ = 24697438617600.

The previous prime is 84000005505491. The next prime is 84000005505509. The reversal of 84000005505504 is 40550550000048.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84000005505509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14505264849 + ... + 14505270639.

It is an arithmetic number, because the mean of its divisors is an integer number (466020723168).

Almost surely, 2^{84000005505504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84000005505504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134213968272384).

84000005505504 is an abundant number, since it is smaller than the sum of its proper divisors (184427931039264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84000005505504 is a wasteful number, since it uses less digits than its factorization.

84000005505504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6551 (or 6540 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 84000005505504 in words is "eighty-four trillion, five million, five hundred five thousand, five hundred four".